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1427272727166 = 23311131511224053
BaseRepresentation
bin10100110001010000000…
…101010111101001111110
312001110001002102212212000
4110301100011113221332
5141341023304232131
63011402515523130
7205055102003106
oct24612005275176
95043032385760
101427272727166
11500337277930
121b07468b94a6
13a478bc56960
144d11a762206
15271d7617ce6
hex14c50157a7e

1427272727166 has 128 divisors (see below), whose sum is σ = 3750893153280. Its totient is φ = 396592848000.

The previous prime is 1427272727159. The next prime is 1427272727291. The reversal of 1427272727166 is 6617272727241.

It is a happy number.

1427272727166 is a `hidden beast` number, since 1 + 42 + 7 + 272 + 7 + 271 + 66 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 553996 + ... + 1778048.

It is an arithmetic number, because the mean of its divisors is an integer number (29303852760).

Almost surely, 21427272727166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1427272727166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875446576640).

1427272727166 is an abundant number, since it is smaller than the sum of its proper divisors (2323620426114).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1427272727166 is a wasteful number, since it uses less digits than its factorization.

1427272727166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224239 (or 1224233 counting only the distinct ones).

The product of its digits is 5531904, while the sum is 54.

The spelling of 1427272727166 in words is "one trillion, four hundred twenty-seven billion, two hundred seventy-two million, seven hundred twenty-seven thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 151 198 234 286 297 302 351 429 453 594 702 858 906 1287 1359 1661 1963 2574 2718 3322 3861 3926 4077 4983 5889 7722 8154 9966 11778 14949 17667 21593 29898 35334 43186 44847 53001 64779 89694 106002 129558 194337 388674 583011 1166022 1224053 2448106 3672159 7344318 11016477 13464583 15912689 22032954 26929166 31825378 33049431 40393749 47738067 66098862 80787498 95476134 121181247 143214201 175039579 184832003 242362494 286428402 350079158 363543741 369664006 429642603 525118737 554496009 727087482 859285206 1050237474 1108992018 1575356211 1663488027 2033152033 2402816039 3150712422 3326976054 4066304066 4726068633 4805632078 4990464081 6099456099 7208448117 9452137266 9980928162 12198912198 14416896234 18298368297 21625344351 26430976429 36596736594 43250688702 52861952858 54895104891 64876033053 79292929287 109790209782 129752066106 158585858574 237878787861 475757575722 713636363583 1427272727166